Pith. sign in

Paper Citation Record

Composition operators and Rational Inner Functions on the bidisc: A geometric approach

Citation observations with source coverage and deterministic predicates. A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2604.20330 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-09T23:00:14.881779Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-11T06:31:22.384518+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T04:23:07.685564Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-01T15:15:47.454985Z

Counted states

34 of 34 outbound references displayed

  • verified exact5
  • verified fuzzy29
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 577b681f-665c-4297-8168-852647c58673

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Agler and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.117259Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:6ccdd8cb8ab2f56582dc19b1b3c0cae45bd2bb69f3534ca20b68f4c1844cba29

Observation 73d30d98-12aa-4ae7-a3be-d22abb185aa8

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Agler and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.109306Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:78e5356b9ff8aba4d9377c8ab1c6688b9282c59d21442e4b3085e8fd661042fa

Observation 360176ff-3464-41c7-90cf-1881bfc9bcb3

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Agler and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.129472Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:ce4b31d802289aa9b14487b129c3ca69238dbbd4c6d28ff7101fcafd8205ac25

Observation 9fdc258e-f745-4504-8883-15bc6edfeddc

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.145193Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:8fe6b2643ded05993d5ec6b08fbbc827b2a78883260c681c6427307c7488c9af

Observation d76a8752-2bb9-4085-8893-979dbdb32a7a

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bayart,Composition operators on the polydisk induced by affine maps, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.100683Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:0fee37a17af4f0308d19f0bd2edf757f8db74a3f638387679281cf034fe22cdb

Observation e1329315-a779-4382-a9f4-3e9dab50119f

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bayart,Composition operators on the Hardy space of the tridisc, to appear in Indiana Univ

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.105401Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:51441af5ccefb710c8aef704cb1dd13509ce2831f1213d7d2f6b62c0b8d2a89f

Observation f9961b4d-803d-43e7-9012-9c1edf855002

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bayart and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.096766Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:3943d970fe3f15e30adaf0be06d71a55b0b79619c41c3bfd8375e5b635521ae8

Observation 2c2b8ff8-8be0-4116-a30e-838537604a56

Composition operators and Rational Inner Functions on the bidisc: A geometric approach MR unavailable

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-09T23:04:17.408371Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:7310129debe5985d87b5948c145a51c6d54da0b6da805145c4e2c9b225167833

Observation 2a768795-f0fd-4441-abb1-9c78fbe8fba8

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Beslikas,Characterizing the RIFs that induce bounded composition operators on the Bergman space of the bidisc, Concrete Operators13(2026), no

Reference 9

Resolution
verified exact
doi, observed 2026-05-09T23:04:17.410359Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:5fb622d03fbaa5e5e90fbdb2a1257e95f10dea32289cc0c91762b3057b50e0d5

Observation 80ec3abe-e2a4-4091-a2b2-29e6dde85a56

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Beslikas,Composition operators and rational inner functions on the bidisc, Proc

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.090798Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:a8dc30d67a6b3d2ea7f4aa2dd4b76272fc68d8ede5df43e5023c5b2e1060cd67

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-05-09T23:04:17.413221Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:e25aa57f2c12ad06b0fd00de3f4c886790ca1ea1df69d1f8cef50198ab98bc7d

Observation c634264b-3677-424b-89db-a8278010bf48

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Beurling,On two problems concerning linear transformations in Hilbert space, Acta Math.81(1949), 239–255

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.094075Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:8f455acd6038e53b60a20915d07d3b562723a70487dad7a615775462cd69d444

Observation 73719645-0f09-4228-888b-ceb2c444970f

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.113105Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:405964c04b5627a713c4d0df4e6a3849875cb803aec16effdc65785c37f37e7d

Observation 3a32ebcc-f17c-4dc2-8dd4-b0e7e78ec3b6

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.121997Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:8c1b54e5b693f79e525d7ac0b48f00afd1f61dfc4ec536539355178b96c29598

Observation f178652e-28fd-482f-8675-983cc1cc3699

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel and G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.125669Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:793db1168dec7e4b792c095f4be1773bf5de8a4114f294f122b20c06138bfff0

Observation f5d45789-45da-4628-93cf-d50c286dda94

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel, G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.133330Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:6ba3f5e0f98d46ae1e53278fc3eebc3a96a4a10ef56bdefaf94774930cf60752

Observation 803ef724-9d5f-400f-bc6c-e623330b6812

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.084406Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:8b0595aebc60dc7be3bb95878f3b7d2979b45bbb1451f3669a39fabce96424a5

Observation 13e14c91-4515-4bc0-876f-6fa69afe3281

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.087128Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:026ea7de2909b1b01adc629e144ab4340b4fbc3f0f9ce5f8ea4716c4ffda49df

Observation 7ed21d4a-6c66-441b-9530-4bc366ecbfcc

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Bickel, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.069665Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:81923a2ac7e261eaed1fa9bf03ef9960a17a3a85880cc85bc54f7bc1b033a30c

Observation 1f2c809e-3a8e-4967-a1ad-9d5f9d06e14f

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.073102Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:a01491f0035cfeedace7b44cefa61eefb1c9faea2fa7f91354b02f1d920f3fe8

Observation 80bed8d8-92b9-440d-8709-ec8cc45918b2

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Fulton,Algebraic curves, Advanced Book Classics, Addison–Wesley Publishing Company, Advanced Book Program, Redwood City, CA

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.077120Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:eb113fedc011e924e417f536e9cd1cce254c90597ca58f5f3831df12daf36ffa

Observation b7c3e409-4716-4d7c-ae6f-c50b9411a5f5

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Hedenmalm, B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.065918Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:c29d438c34e3bcd01b12dcc3acb4f3a5092595a548fcd7cdf0475b6a84590943

Observation fc1e4ecc-ea6b-4b1a-b28b-61b58c9ea8e7

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Jafari,On bounded and compact composition operators in polydiscs, Can

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.137435Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:74880f59dce5762c91d37c5675cf96c69644567760ab13196b45f5cb804d0f4d

Observation 98e1ab3f-7cf4-4587-8236-3f6a22fb42c3

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Knese,Rational inner functions in the Schur–Agler class of the polydisk, Publ

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.141402Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:b352c20b44a445024125f53db1aa1b2fac6f87b265d610b9aaa84b56170d49de

Observation 7cb7a40a-2f89-4bda-906a-ef0ca59099ab

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Knese,Integrability and regularity of rational functions, Proc

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.089250Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:c16fdc2da7c5b4df5cab925781f05373f8eb0d2561906ccd6dfc8de009dff970

Observation 491ab116-00c7-4104-bad4-0d5fd0a6254d

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Knese,Boundary local integrability of rational functions in two variables,to appear in Trans

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-09T23:04:17.405476Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:1b69beb6a2f884abf58a1d9db59dfd2bf13da9d7771a7644c8186fc0c42d1546

Observation d2d671f1-0e90-4071-b786-d3109900d797

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.081204Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:b6b1d7b790a824ae1c7f4ee6b3c80afdcb4294765112a6b12fc8f2fb59c568d4

Observation 61398a1a-ada7-43dc-acce-789ecbb1f42d

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Kosi´ nski,Three-point Nevanlinna–Pick problem in the polydisc, Proc

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.070530Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:f31da666be914fc498d626b9aebe9035b3619a234edbead783ef88c3ea8fafaa

Observation bd8d5499-31f5-463d-97be-d71f6c12984c

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Kosi´ nski,Composition operators on the polydisc, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.039255Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:68a84962e681c277677abdb4b11854717a49e6655769b7a5fd600366f08919e6

Observation 31c34a2e-49e6-41d0-9d2a-6d69b0a0d6ae

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Kummert,Synthesis of two-dimensional losslessm-ports with prescribed scattering matrix, Circuits Syst

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.048463Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:61a0c6cccb82e2fa027a0ec6d4c058bc6c3fc179e1b9caa38c567d9297d88858

Observation cc4dd8c9-dcef-490c-a107-0899f15089d2

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Pfister, ¨Uber das Koeffizientenproblem der beschr¨ ankten Funktionen von zwei Ver¨ anderlichen, Math

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.031255Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:429e0b111ea38782ce146cca534b69bfa5a775e0ecdf1a9a323b08875618d793

Observation a10933dc-794b-474d-93d5-1532299d8313

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Rudin,Function theory in polydiscs, W

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.043326Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:e731332b732c4748d0af64614855a075eeaec5507958cc9fe1dff4d054ac0f2b

Observation 6ed8e36e-8770-4406-9076-6bf00355f7ac

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T13:45:40.027141Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:596a8a72286db23387f9d38ef0f4792d9fa6735308f3fba4ac2a15e7c45cfa91

Observation 9424c479-63b0-41b6-9327-c379e008bd19

Composition operators and Rational Inner Functions on the bidisc: A geometric approach Unresolved cited work

Reference 34

Resolution
verified exact
doi, observed 2026-05-09T23:04:17.402389Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-05-09T23:00:14.881779Z digest=sha256:7112260bd145b69470abadcff87103b64295f04f96a0a335f77fc18cbc9b6e83

Pith citing papers

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:15:47.456289Z

Standing notice

No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:d836119ee223566b3849d6a546b672e8e8a0e8f5a8f5835dfc91346a51065b11